Elliptic curve isogeny class with LMFDB label 55506.n (Cremona label 55506r)

• Label: 55506.n
• Number of curves: $1$
• Conductor: $55506$
• CM: no
• Rank: $1$

Elliptic curves in class 55506.n

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
55506.n1	55506r1	\([1, 0, 1, -337, -1924]\)	\(5011452097/1054152\)	\(886541832\)	\([]\)	\(28800\)	\(0.43163\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 55506.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 55506.n do not have complex multiplication.

Modular form 55506.2.a.n